Kyrgios had too much firepower for Cristian Garin, eliminating the unseeded Chilean 6-4 6-3 7-6 (7-5) in two hours and 13 minutes on Wednesday - barely 24 hours after being summonsed to a Canberra court over an assault allegation.

The 27-year-old is required in the ACT Magistrates Court on August 2 to potentially face a common assault charge amid reports he grabbed his former girlfriend Chiara Passari in an incident before Christmas last year.

But first Kyrgios must focus on Rafael Nadal after booking a blockbuster last-four showdown with the 22-times grand slam champion on Friday.

It will be the 27-year-old's long-awaited maiden grand slam semi-final after losing quarter-finals to Milos Raonic at Wimbledon in 2014 and to Andy Murray at the 2015 Australian Open.

"I just never thought I'd be at a semi-finals of a grand slam. I thought my ship had sailed," an emotional Kyrgios said after taking several minutes in his courtside chair to soak in the moment.

"Honestly, I didn't go about things great earlier in my career and I thought I may have wasted that little window.

"But just really proud about the way that I've come back out here and with my team and been able to enjoy it."

It was difficult to know whether or not the looming court date was bothering him as Kyrgios delivered a typically animated display on show court No.1.

The hot-head berated his courtside box - which included his father, sister and current girlfriend Costeen Hatzi - almost from the get-go for apparently not offering sufficient support.

"After everything ... I do expect more," Kyrgios bellowed early on.

"Something .... SOMETHING! There's five of you. Five of you," he pleaded after failing to convert either of two break-back points in the sixth game.

But after losing the first nine points of the match, Kyrgios screamed "let's go" when he eventually claimed a service break to forge a 4-3 lead en route to taking the opening set.

The combustible Canberran continued his running verbal battle throughout the match, often reminding his entourage how Garin had fought back from two sets to love to defeat fellow Australian Alex de Minaur in the fourth round.

"Does anyone know that? Does anyone know we're at Wimbledon?" he moaned.

"Good job," he clapped mockingly to his box on another occasion after double-faulting before repeating the gesture when Garin got a lucky net chord to bring up a double break point.

Despite all the theatrics, Kyrgios outclassed the South American in straight sets to finally live up to his rich potential and reach a grand slam semi-final for the first time.

Showing no signs of the shoulder injury that troubled him in his previous match, Kyrgios rocketed down another 17 aces to take his tournament-leading tally to 120.

He dropped serve only once - in the opening game of the match after Garin elected to return.

Kyrgios is the first Australian to progress to the men's singles semi-finals at the All England Club since 2002 champion Lleyton Hewitt made the last four 17 years ago.

The one-time world No.13, now ranked 40th after only playing a limited schedule in 2022, will face Nadal after the great Spaniard overcame a painful abdominal injury to outlast American 11th seed Taylor Fritz 3-6 7-5 3-6 7-5 7-6 (10-4) in a fifth-set super-tiebreaker.

Three-time defending champion Novak Djokovic and British ninth seed Cameron Norrie will feature in Friday's other semi.

Australian Associated Press